Find the value of \(a+b+c\).
Details and Assumptions:
Treat the pulley as a disc.
The block and pulley are oscillating in the same phase with the same frequency.
Pulley has sufficient friction for Pure Rolling and mass=m & strings are light and inextensible.
Gravity is present.
Zig-zag lines in fig represents spring of spring constant \(k\) and \(2k\) as shown.
a is a square-free integer and the fraction is in simplest form.